Cliology

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  • ##Examples and case studies

    Drilldown: //Grand Framework 0.1.0/Cliome/Meme/Noam/Sigma

    Sales

    A deep-dive sales example is given (a lawnmower) for both direct and and multi-level marketing and examines each of the noam properties. It should be noted that this example is at the aquiditional level of a customer purchasing an instrument from a vendor. Ultimatly, the device will be used in direct engagement with the environment (cutting grass), but this example models out the transactional processes.

    Activism, Environmentalism and Climate Change

    TED Talk Analysis: https://www.ted.com/talks/luisa_neubauer_why_you_should_be_a_climate_activist#t-50683

    The following doodle shows an example noam for rule goverend behaviour for recycling. For those with environmental concerns, waste is a big no-no, and should be combatted through recycling material.

    An environoam

    [redraw diagram to include final sigma and eta]

    The phi on the hook shows that it is physically implemented as action (while psy would indicate that it is conveyed from mind-to-mind).

    The components of the noam are listed here in the order of operation:

    ς     Final-sigma    that the individual has empty packaging (an old aluminium can)

    σ     Sigma             is the total salient awareness of the situation. The can could potentially threaten to be waste.

    ν     Nu                   The value system of the person which includes environmental concerns

    π     Pi                    A measure of contentment or satisfaction. The “pi rule” where stimulus and values match would be violated: waste packaging would be counter to saving the planet.

    ξ     Xi                    The link between discontentment and motivation to do something about it. As waste packaging violates environmental concerns (pi dissatisfaction) then there would be an activating invocation signal to the motivation to act.

    τ     Tau                 A measure of motivation to act. Given by the “tau rule” between values and response. Recycling supports environmentalism. The violation of value (pi) potentiates the motivational connection in the service of that value (tau), as given by the invocation signal (xi)

    ρ     Rho                Potential responses, which includes recycling behaviour. Having the motivation to act (tau) potentiated, then the option of recycling would become a suitable choice of behaviour.

    η     Eta                 Kinetic response of actually recycleing

    ο     Omicron        eg. ↑ο The logical formation of a shortcut stimulus-response curve formed by a satisfactory result.

    υ     Upsilon          eg. υ◡ Stimulus-response, curved as a shortcut for future action.

    Sigma σ is the culmination of relevant situational awareness, and would not only have specific awareness ς of the context (a waste can), but would include some level of awareness (albeit unconsciously) of values (nu), dissatisfaction (pi), motivation (tau), and the ability to recycle (rho) along with other properties. It will also provide awareness of subsequent action, outcome and satisfaction of having acted.

    It can be seen that a cycle is operating in this noam which has been stimulated by some contextual condition, and leads to terminating uni-stability.

    ς             the presence of an empty can.

    σ             the total salient awareness of the situation

    ν/σ = π    the presence of the can has resulted in some environmental dissatisfaction

    ξ←          dissatisfaction has potentiated motivation ie ρ\ν ν/σ

    τ = ρ\ν    the motivation has invoked behaviour in the service of the value

    ρ             the potential behaviour of recycling exists as a likely option

    η             the chosen behaviour of recycling is enacted becoming the kinetic behaviour of recycling the can

    The behaviour modifies the context and the context subsequently modifies the behaviour. This simple example is about direct context and in the absence of presenting waste cans, then there are no more immediate cans to recycle. In reality, there may be residual frustration with waste that continues to violate environmental values,  leading the individual to take further action: find more litter, complain to others, protest etc.

    ς             the absense of an empty can.

    σ             the total relevant awareness of the situation; the can has been recycled

    ν/σ = π    the recycling of the can leads to satisfaction

    ξ←          satisfaction breakes the link

    τ = ρ\ν    the motivation to invoked behaviour is no longer necessary

    ρ             the likely candidate potential behaviour is that no further action direct is needed right now.

    η             the chosen behaviour of no further action is enacted becoming the kinetic behaviour

    ο             a satisfactory outcome from the recycling action as determined by a change in the environment, reinforces a connection between the original awareness and the choice of behaviour

    υ             future instances of encountering an empty can will shortcut to the behaviour of recycling

    Satisfaction is achieved (terminating unistability) and no further action is invoked. Notably, “inaction” with respect to a specific context is taken as being a form of potential and kinetic behaviour. In reality satisfaction of one noam is superceded by other stimuli leading to pressing concerns upon another noam being enacted.

  • Its my brain, I’ll do what I want to!

    OPPINIONATED FOUL MOUTHED RANT ALERT!

     

    I was shit at maths and english at school and therefore rejected all education. For english, I could not spell – I was taught a phenetic system, ITA, which taught me how not to spell. With maths, it was memorising the times tables – I could temember the tune but not the words. Nor did anybody think to explain why I needed any of this crap. It was spelling and tables are the only important thing you dont know them “you are remedial!” Well fuck you!

    Oh such happy memories of the best years ofmy life. but on learning some of the modells of NLP, my being a bit backwards was both easy to explain and remedy. Actually, in hindsight, some of the teachers (and by no means all) were really good.  Its just that they did not know and were fighting against a system intent on social complience. I see this now.

    As it turnes out i wasnt so bad at the 3Rs afterall. The point of all this bitching, and to cut to the chase, is that what is commonly taught and understood as being maths, is not what I have discovered maths to be. Is maths about algebra, arithmetic, differential equations, statistical tests, memorising times or log tables. Partially, but those have dominated our conceptual clusterings. Maths includes such, but is much more, and moreover is much more interesting!

    English is not about spelling punctuation and grammar (again these are elements) but as my latter english teacher illuminaeed me, about getting whats in your head to the end of a pen. To me, that was sage, it released me from my hell of formality (and I greatfully thank you). he said he didnt get maths, afterall those non-prodegies are either good at one or the other, right?

    but now I gather that the endpoint is the same: simply to communicate an idea. To get a brainchild dowwn be it in the corpus of knowledge, or on the back of a beermat. Whats the difference? Whether I’ m trying to tell everybody else what im thinking or wrestling with some of my own conceptual deamoms.

    Well, if i wanted to explain something to someone else, then it helps if we talk the language. The more people I want to tell, who otherwise would have no idea of what im ranting about, then clarty would call far more formality: a lingua franca. id have to adhere to something suitable. Spelling, punctuation, grammar, algebra, and so on are simply conversational conventions, and not the whole of the thing.

    Now, the puzzle occurs: what if I ponder on something that is new enough not toconform to some traditional format? Or rather that tudging my idea into such would result in a convoluted, contrived mess compared with cranking out something, that to my mind at least, does really make sense?

    Should i shoehorn thouht into kludgy conventional symbolism, or should i go out on a limb, risking the wrath of the guardians of mathematical symbolic traditionalism?

    Fuck traditionalism, thats pride playing with your mind. This is my mind – i’ll do what i want to. Also bearing in mind the Sapir-Wharf hypothesis that language constrains thought, then the occasional break from adherence could actually be healthy.

    So what. Maths is about numbers and latin and greek symbols and stuff. No, its about conveying thought (even ifonly to ones-self), and whether it is any eutopean, asian, ancient or made up typeface or symbol is not televant.

    Its like as-if I had some kind of agendum here. Well “duh…” Im going to make up shit that helps me suss out stuff, and i dont care if i nick it from ancient egyptian, alcclemy, or just draw what makes sence to me.

    But the big Q here, is whether anyone else can stomach it. Imake up symbolism that works for me –    that is proper maths. At the moment various symbolic mash-ups do yhe job. And thre os no need to conform.

     

     

     

     

  • Homage, influence or plagerism

    Homage, influence or plagerism

    Dawn is the friend of the muses.  I dreamed of a massive tune last night and, realising I was in a dream and wanted to pull it out, subsequently dreamed that I jumped out of bed in search of a pencil and paper. In reality, I got up and recorded a voice memo on my phone.

    But muses notwithstanding, this nocturnal serenades must come from somewhere. The fact that, as someone who produces music, naturally listening to a lot of it is surely an antecedent to the dreaming. That which I experience during the day, murmerates around my preconscious and takes REM cycles as an opportunity to assemble novel compositions – that’s my theory.

    Probably most art is a remix of exposure. I would be surprised if I suddenly started composing ancient middle eastern rhythems as opposed to those encountered in my own culture. Like letters of the alphabet or chemical elements, the building blocks of music: beats and notes, are finite. Although they can be rearranged in a seemingly endless number of ways, only a small proportion of these arrangements are viable. Similar results can emerge from convergent evolutionary paths.

    Deep familiarity with a particular genre may unveil subtle nuances that others think just sound the same. Conscious composition within a genre usually requires a deep and wide understanding, thereby allowing one to know what is stale and what is fresh, what works and what doesn’t, what is innovative and what is copied. To compose from the heart is one thing, but commercial pop consumers, and the network of dependent industries, want more of the same, but a little bit different. Copywrite infringement is also an issue. Experimental Avant-garde never achieves heavy rotation on drive time radio. It is the producer’s art to have some formula that keeps the hits rolling; to gauge and anticipate the level of difference that meets the consumer’s perceptions in the Goldylocks zone between passe and unstomachable noise. Such a formula is my aspiration.

    But in dredging ditties from my unconscious dreaming mind, it is not as easy to apprehend the source of inspiration. Why songs arise in dreams remains a total mystery. Perhaps they are resolving deep conflicts in the psyche, but that doesn’t necessarily align with banging out a smash hit. It could be that I heard some song qute some time ago and it is replaying in my dreams albeit with some adaptation to lyrics or melody. The problem though is that it might not have registered in my conscious catalogue of tunes. Commercially that would spell trouble, possibly leading to a Copywrite infringement suite. I’m working on how to assess this, but my best bet so far is to try and remember if I’ve been listening to anything recently that could sound a little similar.

  • You might need to tilt your head a little to see this.

    You might need to tilt your head a little to see this.

    Psychologist know that people tend to view things according to what they are familiar with. Psychologists, of course see things through the lense of psychology. What I have is related to psychology; it is also related to biology etc, but it is not really any of those things precicely, it comes from computer science. So if you are not a computer scientist, please tilt your head a little.

  • Why are earworms sticky?

    Why are earworms sticky?

    In thinking how to make that killer hook, we need to know what the properties of an earworm are. It also raises the question of why they stick in the mind, what are they for?

    I wake up to Radio One in the morning and have found that the last track I hear before turning the radio off is the one which sticks around all day. This has given insight into what features make them stick. This morning was Ed Sheran’s Beautiful People (with Max Martin and Shellback on the credits). Bits of the song keep hitting me, one section seems to repeat itself, then sometime later another one does. It wasn’t that I particularly wanted to hear the song again but for some reason I became compelled to watch it on YouTube. It got me thinking.

    The noam model would suggest that my kinetic response (rho) was attempting to satisfy some violation (pi) of values (nu). Say what? Well, the sections of the song that keep hitting me in waves seem somewhat fractious, incomplete and not well-formed. It seems like a partially remembered song is not so satisfying (the pi bit) given that I know there is a fuller structure and value knowing a fuller structure (the nu bit). Perhaps then that is why I am driven to listen to it again (the rho bit).

    Maybe I got some measure of pleasure from the song in the first instance. Maybe I’m getting a bit of reinforcement playing bits in my head. Maybe there is a promise of reinforcement for listening to it again. Maybe getting a fuller structure in my memory, is driving me to play it over. Maybe I am chasing the dragon.  Hmmm….

  • In the minds ear

    In the minds ear

    The acapella technique plays the evolutionary loop of variation and retention in the mind’s ear, ever tweaking the piece, making it more and more catchy.

    I want to figure out how to produce hits using memetic algorithms. I rather fancy that massive singalong anthems have a property that makes them highly retentive and playlistable. Moreover, pieces that invite mass singalongs, especially live, tend to be highly popular. I’ve been to enough gigs to have experienced audiences singing their lungs out; in many cases slightly (or very) drunk and quite usually out of tune. A song that can maintain its might in this light is truly a banger indeed – and that is what I am aiming for. Structurally, among other things, a song tends to have verses, choruses, a break, then repeats the chorus a few times. It is the post-break repetition of the chorus that I try to make into an anthem.

    Acapella isn’t just in the auditory imagination; I employ the other senses as well. Really, I am recalling what it is like to be at a gig where the audience is going bonkers, and trying to project this atmosphere onto my own creations. I visualise a stadium or venue full of fans chanting and punching the air, the artist on stage, the lighting and so on. In terms of NLP, this visualisation is the lead system which takes me to feeling the excitement of the event. With that, I can project my own tune onto what the fans are singing, and how they are singing it.

    Actually, I am using this hybridisation as an internal test to explore how strong the tune is and modify it until it fits the image. Another test that I run in my imagination, is that of a tribute artist or cover band having the tune as part of their set and playing in such as a working men’s club. If I can plausibly imagine the audience singing along, then it’s possible that the piece has longevity, which is an indicator of potential popularity. I conduct these thought experiments as a way of teasing out what might make the track ever stronger.

     

     

  • I Engineer

    I like to go out on alimb on the grounds that I have no reputation to protect, save that of going out on a limb.

    I self-identify as being an engineer, which is why I think of cliology as being about engineering: that of engineering culture. I can almost hear the squeels and snarles from other communities of academics, humanities scholars, scientists, politicos, and yes, even engineers “Culural engineering cant be done and shouldnt be done!”

    True, but I dont care; I think that the proof that something can be done is to do it. Some backstory may assist in orientation: yes this is a rant. Im from a working class background and still live in the north of England’s aftermath of the industrial revolution (where we are still good at hitting lumps of metal). These biographical antecedents affect my thinking. I dont feel happy with just theorising, nor purely studying, however important, rigorous or scientific. I want to roll my sleaves up and do something practical, make tools and use those tools to make stuff (or demolish it), even if my impatience means foregoing all the scholarly rigour. I started in hardware electronics and computing so MSc & PhD came as a shock. I just didnt get the idea of study for its own sake and in the abscence of wanting to build stuff with that knowledge.

    Ok, I get it a bit more now; I suppose that is the learning outcome. I kind of get academia, but engineering – the compulsion to use knowlege is in my blood. I guess I’m a pracademic if there was such a thing. Snobbery is rife, but I also think that I understand the divisions a little bit more as well. I inherited the attitude that academia produced “useless knowledge” and that useless meant of no value – its a working class trope that validates those who are socially precluded from the privilagevof a university education.

    Really, “useless knowlege” is simply that which no one has figured out how to make it widely useful. Its more to do with specialisms at technology readymess levels. From contenemtal philosophers to entrepreneaurs. From early adopters, to chrossing the chasm, to mainstream. It is not in the pure scientists skill set to exploit their work. I believe they truly want to change the world for the better, however incrementally, but knowledge transfer of a basic discovery into a world changing sucess is not their forte. The specialist moves onto their next challenge, leaving the implementation details to those with that expertise. Investment factors leave most ideas dormant in journals.

    Lets push the envelope here. As engineer I want to figure out how to use stuff – whatever it is. I want know how to use Tailhard de Chardan’s noosphere, as a computer so powerful even Douglas Adam’s Deep thaught was not worthy to consider the perameters of.  A thought, just a thought.

    But lets reign it in to the comparitively plausible.

    The point goes back to the distntion between explanandum and explanans. A distinction which could well do with becoming more popular. Explanandum can be thought of as what we observe.  Explanans as our considered reasons for such. Seemingly, it is a relationship of one-to-many that is, there are many competing theories to explain a phenomenon. Sometimes these are a matter of opinion, favour of taste, or credo consolans. In the western thinkings though, only a single explanation can be acceptable, and the breath expended arguing which one it will be has contributed significantly to global warming. Philosophers and scientists strive for the truth and to be right (lawyers just want to win), but knowing why something is academically doesn’t necessarily translate into practicality. We can still get results even if our theory is completly wrong; we can still be stuck even if we have a full understanding. Theory and practice are seperate concerns, but they are not partitions, when they both come together they can be dynamite (as Alfred Nobel would testify).

    I wont steriotype individuals here as a person can put on many thinking hats. Rahter, we can think of roles, whereby some hyper-specialist may identify with one role, while a polymath may be a butterfly of many. The philosopher and pure scientist roles are there to study and argue why something is, about variables and cause and effect. That is their forte, and even if they, as humans dream that one day their perochial arena may have world changing consequences, speculating on such matters is not in the job description and should be left to experts in knowledge transfer. At some hyperthetical extremity of the other end of the spectrum, technicians and mechanics are concered with applying a known formula and getting the intended results. A deep understanding can be a distraction from the doing, and there is no essential reason to know why something works if an action gets the desired outcome. Much of work-a-day life is like that. I don’t really care about the complexities of digital banking to operate a cash machine; I just want to punch in my PIN and have it spit out my wonga so I can go and spend it. For all I know or care there could be armies of lepreuchorns running around behind the screen, though I rather suspect it all has something to do with computers. Indeed, this is object oriented principle of encapsulation, which both shield the user from the intricacies of the system, and protects the system from cyber-attack and ideots. A theatre production is a good metaphor: stage hands, technicians, directors and many unsung heros running around behind the scenes, all to give the audience a seemless illusion that portrays the narrative.

    Most roles, and most people, are, of course, somewhere between the extremities of ivory tower philosophy and robotic instruction following. While it matters little to me how an ATM works providing I get my cash, mysteries are a somewhat disconcerting, and having some plausable explanation is consoling – whether I am actually right, or utterly wrong, and don’t know it. Being utterly wrong about such things has no bearing on my actions and results, which kind of reinforces my sense of being right (and this Dunning-Kruger effect can lead to many pointless arguments).

    Repeating a steady result requires routine not theory. For purely practical purposes in such cases, theory is at best simply interesting. The marrage of theory and practice comes into play when we want to achieve different, preferably better, results. Cultural evolution does have a mode whereby incremental happy accidents, upside misses, can be the drivers of variation. For humans, as intellegent agents and artificers, a theory can be the model for change, or in some cases, impede progress. Consider the observation of a phenomenon, which is subsequently employed in obtaining a desired result. We can invent an explanans (a hypothesis), and still get the same desired result whether the explanans is right or wrong. Given that explanans though, we can envisage what might occur if we were to manipulate some parameter, or change the context of the explanans. Building a model of correlation and cause is the job of the scientist – to use the model to hypothesise what might effect what, and evaluate that model against what really occures, thereby accepting or rejecting (and adapting) some theory or other. For the engineer or applied scientist though the aim is not about accepting or rejecting a theory, but rather to envisage where that theory might lead to better results than traditional routines confer. To this end, a fitting theory becomes beneficial, and the more accurate the theory, the better it is for engineering objectives. Hence, we have a relationship between pure and applied science. The philosophy of science, of scrutinising natural phenomena, is established as methodology. Unfortunatly, there is no well distributed philosophy of engineering; I would suggest that there needs to be one. A profound need for such a philosophy of engineering is where the the explanandum is rejected based on the explanans; alternativly, to mis-paraphrase Einstein, if the facts do not fit the theory, so much worse for the facts. A phenomenon is observed and a hypothesis invented, but those who are “overly cleaver” see through the implausability of that explanation, thereby concluding that the phenomenon itself is wrong. Put this way, such reasoning is a classic fallacy, but one which would seem endemic among academics.

    Reasoning from theory to practice, as applied science does, would suggest consequent errors in practice – the pracitce would be invalid. So, a routine has historically given reliable results. Some explanation in accordance with the paradigms of the time might have been pro-offered, but as the explanans is neither relevant to operating the routine, nor obtaining the results, then it went unchallenged; the results kept coming as wanted. The paradigm then shifts, philosophical sceptisism supported by scientific evidence and the explanation no longer makes any sense and academics (or rather the extreamist role) which is focused on theory would threfore decry it as popycock, buncome. That previously valid practice would be depricated.

    Historically, and in contradiction to the academic ideal and applied science, reasoning ran from practice to theory, practice was proven as relyable so any theory invented to explain its working was irrelevant to the need to obtain results.

    We have a clash; one that is caused by directional reasoning where clearly it should be cyclic. Theory and practice should iterate with each other.

    As I noted, I self-identify as an engineer and like to go out on a limb.  So to cheer on the academics crys of popycock and buncum, and progress my shock rhetoric, let me use the word “occult”. Occult refers to the hidden, and the best plase to hide is in the open. The Hitch Hikers Guide to the Galaxy proposed a Someone Else’s Problem (SEP) field. It wasn’t that something was invisible or something impossible like that, just that it was someone else’s problem and thereby could be ommitted from perception. Just the word “occult” tends to make overly-cleaver people scoff and switch off and thereby procluding them from seeing what is there – it hides it by turning it into a kind of SEP field.

    This is where different roles such as philosopher, scientist and applied scientist differ from engineering (and technologist) and why a philosophy of engineering is sorely needed. Occult, magic and sorcory practices grew out of getting some desired result however effective. The routines were technical concerns, but attracted explanans of the era – summoning angels, deamons and whatnot. Nowadays, gods and devils are out of favour in preference to naturalistic explanans. The older reasoning no longer makes sense, and in the uni-directional approach from theory to practice, would imply that the occult, magic and sorsory are the preserve of the Harry Potter universe. Again, such are just words, but some do have an almost allergic defence to them. But some traditions (and by no means not all) did emerge owing to their utility. Contempory occultists garner benefits in spite of outdated reasoning; they mostly know this, but suspend disbelief in order to get what they want. Discrediting them for want of acceptable terminology or plausable theory is something of a loss. Fortunaly edgy approaches to social-psychology and behavioural science are going some way to recognising and explaining old practice in new terms. 

    What have been traditionally throught of as mystical practices might now be considered in the light of practical social psychology and related fields. Exorcism, prayre, casting spells are now replaced by psychotherapy, personal development, and social savvy. But the science of psychology remains essentially hostile to the occult, and the much of the “occult” remains hidden in open view, in spite of potential benefits. I have said that sorcderers are essentially technicians. They perform a ritual and get the results because the results are more important than being right about theory. To academics being right about theory is more important than results. But to get different or better results, then a more befitting theory is required. This is the role of the engineer. True, like the technician, the engineer is results driven, but is not after simple duplication but improvements, or is dealing with a novel problem space. New solutions demand a new recipe, and coming up that new recipie requires an understanding of how recipes work. 

    In that light, here is some admittedly incomplete and not entirelty justified, taxinomy of roles the way I currently see it.

    Philosopher

    Scientist

    Technologist

    Technician

    Engineer

  • A soundtrack to a road trip

    I love driving and listening to music. My view of heaven is hurtling around Derbyshire or Lincolnshire with a stack of CDs or a full USB stick of MP3s, windows wide open (whatever the weather) and the music full on. I’m looking at the road rather than a computer screen, and this allows my mind to idle freely on things other than computer code or blogging. Along with a soundtrack, I tend to listen to my own productions.

    Sometimes though, I switch off the player and write music in my head. I can’t really write down the lyrics while holding the wheel, but I can belt out a half-written out of tune line with only the sheep listening.

    Without the distraction of a keyboard or a computer, this high-speed environment is perfect for writing a capella. It’s an opportunity to apply the musical memetic algorithm of evolutionary epistemology. I can play with new words or rearrange them endlessly, forming much more satisfying sequences; the A61 has inspired many a subtle tweak. Again, the result is more memorable, and if I don’t forget it, then it has passed the test. Sometimes though, I do pull up in a layby and sing into my phone.

    Not surprisingly though, many of my songs, composed while driving, have been about driving.

  • Evolutionary epistemology

    Evolutionary epistemology

    There are a multitude of ways of coming up with a song. Instrumentalists are likely to play what they are familiar with. A trained pianist is likely to plonk out some chords initially; a guitarist might do a bit of strumming. On the other hand, a vocalist might top-line over a track in an attempt to get that killer hook.

    Another way is to avoid any means of producing a sound and go acapella. Acapella usually means vocal music without instrumental accompaniment, but Jason Blume suggests that it can also be about composing in the head. This is the mode that my earworm experiments take. This way it is not constrained bt the instrument nor the musician’s skill. Moreover, an earworm, as a tune that is difficult to dislodge from the mind’s ear, naturally resides in the mind, and so the head is the environment suited to its emergence.

    Evolutionary epistemology is a good way of viewing the process. Contained entirely as mental processes, a kind of mental singing to ones-self, the fundamental evolutionary algorithm of blind-variation-and-selective-retention can be very agile in driving the development of a musical idea. Whether the source of variation is blind or divinely inspired or whatnot is another question. I have found that rolling a lyric I’ve made up around my mind tends to attract variants anyway.

    Selection pressure could be about the tunes I like. Maybe on a neurological level this could be the case, but really selection is about a tune or lyric that persists – even if I don’t like it on some high-brow intellectual level. A tune that sticks is one I tend to, or rather cannot help but, dwell upon. I’ve now adopted the principle that a sticky tune should be kept, rather than trying to suppress it in favour of something cleaver, sophisticated or technical. Aligning such selection pressures is much more conducive to making earworms, and eases the frustration of intellectual dischord.

    With a tune that is persistent and a natural tendency to play with variations then there is the basic agar of memetic music. Where a piece has some variation introduced and that variation is “fitter” then it survives the selection pressure and goes onto the next round of endurance. Being fitter means that the variation now becomes that which I can’t shift from my mind, thereby becoming the new basis for further variations.

    From a muse inspired germ of an idea, the opus progresses entirely a capella and, should it prove unable to be gagged, then it becomes a candidate for actual production work. In reality, the process is a bit messier than this simplified account of the early stages of production and I will detail them as they become clearer.

  • Extended quantifiers and definates v 2.0.0

    Classical logic considered propositions like “All men are mortal”. Such were later modified into predicate calculus that uses the ∀ and ∃ quantifiers,  and which is used extensively in computer science. The previous statement can be written symbolically as:

    ∀m∈Men⋅Mortal(m)

    I wanted a shorthand that extended the quantifiers yet reduced the symbolism further: unknown, none, one, some, all, not all, some but not all, all but one, etc. In addition, I wanted to denote the scope of the set, which I call “definates”: none, one, some, unknown. The idea is to allow expressions for noams, memes and demes which could express such as:

    Some but not all of a set of definitely more than one are true

    This would work on a string of binary digits such as:

    01101000

    The notation ended up looking like set notation with accents above and below a letter. The diacritic above the set is the quantifier – how many are true; the one below is the definite – the size of the set. Not all of the symbol combinations are convenient in WordPress and take some digging out of Unicode. They are primarily intended for doodling diagrams quickly rather than neatly formatted documentation.

    The symbols chosen for the quantifiers are:

    • ∅ – none of the set are true
    • ⋅ – one and only one of the set are true
    • ∧ – all the set are true (logical and symbol)
    • ∨ – one or more of the set are true (logical or symbol)
    • O – one or more of the set are not true (inversion of the dot)
    • * – some but not all of the set are true (a combination of some and not all)
    • “not all” comes with a bar above the ∧
    • an unknown quantity is left blank

    The symbols chosen for the definates are

    • ∅ – an empty set
    • ⋅ – a singleton set
    • ~ – a set of more than one element
    • an unknown quantity is left blank

      Example of version 2.0.0 grid

    The expression above would consist of an asterisk (some but not all) above, and a tilde (more than one element) below, which is somewhat simpler than the predicate calculus equivalent notation.

    *

    S

    ~

    Clearly, there is a grid of quantifiers and definates. Some of the possibilities are equal to others, some are implied by others, and some are logical impossibilities. The interrelationships are left for philosophers, but resembles the square of opposites.

    The principle is extensible in what quantifiers and definates could be incorporated, using other diacratic marks, and could be applied to other collections such as lists, or other logics such as modal or doxastic. For example À could represent a list excluding the first element. Such further extensions remain to be formalised if they turn out to be useful.